How do you evaluate (1/2)^(3/2) manually

(1/2)^(3/2) =
((1/2)^3)^(1/2) =
(1/8)^(1/2) =
1/(2√2)

use the rule x^3/2 = x.sqrtx
(1/2)^(3/2) =(1/2)sqrt(1/2)
=1/(2.sqrt2)........................answ…